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Finding the Fourth Proportional to 64,830, 97,274.28 and 37,128

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Solution

The fourth proportional to 64,830, 97,274.28 and 37,128 is: 55,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,830 : 97,274.28 = 37,128 : x
  2. Step 2: Convert to fraction form
    64,830/97,274.28 = 37,128/x
  3. Step 3: Cross multiply
    64,830x = 97,274.28 × 37,128
  4. Step 4: Simplify right side
    64,830x = 3,611,599,467.84
  5. Step 5: Solve for x
    x = 3,611,599,467.84/64,830
  6. Step 6: Final answer
    x = 55,708.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.